SOLUTION: state the least degree a polynomial equation with real coefficients can have roots at x=5+i , x= 3-2i and double root x=0 .Explain

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Question 612943: state the least degree a polynomial equation with real coefficients can have roots at x=5+i , x= 3-2i and double root x=0 .Explain
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You have a root of 5+i, so the conjugate 5-i is also a root

The same thing applies to 3-2i. The conjugate 3+2i is also a root.

So we have 4 roots total so far.

Since x = 0 is a double root, we add on 2 more roots to get a total of 6 roots.

So the least degree of this polynomial is 6.